COZY

A padded or knit covering put on an item to keep it warm, especially a teapot or egg.

A padded or knit covering for any item (often an electronic device such as a laptop computer).

A work of crime fiction in which sex and violence are downplayed or treated humorously, and the crime and detection take place in a small, socially intimate community.

To become snug and comfortable.

To become friendly with.

"He spent all day cosying up to the new boss, hoping for a plum assignment."

Affording comfort and warmth; snug; social